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Finding the Fourth Proportional to 19,864.30, 29,796.07 and 8,017.76

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Solution

The fourth proportional to 19,864.30, 29,796.07 and 8,017.76 is: 12,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.30 : 29,796.07 = 8,017.76 : x
  2. Step 2: Convert to fraction form
    19,864.30/29,796.07 = 8,017.76/x
  3. Step 3: Cross multiply
    19,864.30x = 29,796.07 × 8,017.76
  4. Step 4: Simplify right side
    19,864.30x = 238,897,738.20
  5. Step 5: Solve for x
    x = 238,897,738.20/19,864.30
  6. Step 6: Final answer
    x = 12,026.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.